A set of linear equations are given as follows: |-14 x -19 y +18 z = 307 +5 x +10 y -2 z = -112 -4 x +13 y +14 z = -25 If the above system of linear equations is represented by the matrix system Av = b where the unknown vector v'=[x y z], A = coefficient of the linear systems, and b=right-hand side vector. 1) Write the matrix A. 2) Using a for-loop, write a Matlab-code to compute matrix-matrix product, i.e., C=A*A. 3) Select the correct value of C*b from the choices below? Choices O[-26767, -2382, -25951]" |[-26763, -2379, -25951]" [-26769, -2385, -25951]T |[-26767, -2386, -25953]"|
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- Q5. Write a program that reads from the user an integer matrix with 10x10, and then rotate that matrix 180° (UPSIDE DOWN) after that, calculate the sum and the average of the main diagonal. Print the matrix after the rotation and the values of the sum and the average of the main diagonal.Given a square matrix of size ?×?n×n that only contains integers, compute the sum of the two diagonals. If the dimension of the square matrix is odd, make sure that you are not double-counting the value at the centre of the matrix. Figure 2: Sum of diagonals. Function specifications Arguments: matrix (numpy.ndarray) →→ input matrix to be used for computing the sum. Return: sum (int) →→ return the sum of the two diagonals. def sum_of_diagonals(matrix): returnThe Sudoku game is played on a 9x9 grid. Inside the rows and columns are 9 "squares" (made up of 3x3 spaces). Each row, column and square (9 spaces each) must be completed with the numbers from 1 to 9, without repeating any number within the row, column or square. The following Python program solves Sudoku using backtracking. The method that starts the solution is "solve_sudoku(matrix)" and receives as input an n x n matrix where the empty inputs are represented by -1. From the program, analyze its execution time. from pprint import pprint def search_next_void(puzzle): for r in range(9): for c in range(9): if puzzle[r][c] == -1: return r, c return None, None def is_valid(puzzle, guess, row, col): row_vals = puzzle[row] if guess in row_vals: return False col_vars = [puzzle[i][col] for i in range(9)] if guess in col_vars: return False row_start = (row // 3) * 3 col_start = (col // 3) * 3 for r in…
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